偏心误差对微线段齿轮的传动性能影响研究  

Research on the influence of eccentricity error on transmission performance of micro-segment gears

作　　者：徐锐[1,2] 黄康 杨磊[1] XU Rui;HUANG Kang;YANG Lei(School of Mechanical Engineering,Hefei University of Technology,Hefei 230009,China;School of Mechanical and Electrical Engineering,Chizhou University,Chizhou 247000,China)

机构地区：[1]合肥工业大学机械工程学院,安徽合肥230009 [2]池州学院机电工程学院,安徽池州247000

出　　处：《合肥工业大学学报（自然科学版）》2019年第8期1014-1019,1027,共7页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(51775156);池州学院校级科研资助项目(CZ2018ZRZ03)

摘　　要：微线段齿轮作为一种新型齿轮,具有承载能力强、耐磨性好、传动效率高等特点。为了进一步提高微线段齿轮的应用性,文章重点研究了偏心误差对微线段齿轮传动性能的影响。根据微线段齿轮齿廓的成形原理,建立了其齿廓的数学模型;基于该数学模型,结合微线段齿轮离散型齿廓的特点,将离散化齿面接触分析(tooth contact analysis,TCA)方法引入到微线段齿轮啮合分析中,对考虑偏心误差的微线段齿轮传动误差计算方法进行了研究,并编制了相应的程序;基于该程序,对比分析了偏心误差对渐开线和微线段齿轮传动误差的影响。结果表明,偏心误差会导致微线段齿轮在每个啮合周期产生不断波动的传动误差,其基频幅值比渐开线齿轮的要小,但是随着偏心误差增加,传动误差中高频部分的影响越来越明显。为了设计高性能的微线段齿轮,可以通过提高微线段齿轮孔和轴的加工及安装精度来减小偏心误差带来的传动性能影响。As a new type of gear, the micro-segment gear has the characteristics of strong bearing capacity, good wear resistance and high transmission efficiency. In order to further improve the applicability of micro-segment gears, this paper focuses on the influence of eccentricity error on the transmission performance of micro-segment gears. According to the forming principle of the micro-segment gear tooth profile, the mathematical model of the tooth profile is established. Based on the mathematical model, combined with the characteristics of the discrete tooth profile of micro-segment gears, the discretized tooth contact analysis(TCA) method is introduced into the meshing analysis of micro-segment gears. The calculation method of the transmission error of micro-segment gears considering the eccentricity error is studied, and the corresponding program is compiled. Based on the program, the influence of the eccentricity error on the transmission error of the involute and micro-segment gears is compared and analyzed. The results show that the eccentricity error will cause the transmission error of micro-segment gears to fluctuate continuously in each meshing cycle, and the amplitude of fundamental frequency is much smaller than that of involute gears. However, as the eccentricity error increases, the influence of the high frequency part of the transmission error becomes more and more obvious. In order to design high-performance micro-segment gears, the transmission performance impact caused by eccentricity errors can be reduced by improving the machining and installation accuracy of the micro-segment gear holes and shafts.

关 键 词：微线段齿轮 渐开线齿轮 偏心误差 齿面接触分析(TCA) 传动误差 

分 类 号：TH132.4[机械工程—机械制造及自动化]